Which of the following describes the domain of the function?
which of the following describes the domain of the function? - 1

Answers

Answer 1
Answer: I think it's A but I'm not sure. The domain of a relation is simply the input, or x-values of the relation 

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HELP!! Are triangles ABC and ALM congruent

A. Yes by AA

B. Yes by SSS

C. Yes by SAS

D. They are not similar

Answers

Answer:C

Step-by-step explanation:

MATHS - 10 POINTS HCF/LCM thankyou!!A car’s service book states that the air filter must be replaced every 10,000 miles and the diesel fuel filter every 24,000 miles.

At how many miles will they both need replacing at the same time?

DO I WORK OUT THE LCM OR HCF?
WHAT IS THE FINAL ANSWER AND WHY??

PLEASE INCLUDE WORKING THANK YOUUU!!!!!

Answers

LCM

10,000|2
5,000|2
2,500|2
1,250|2
625|5
125|5
25|5
5|5
1

24,000|2
12,000|2
6,000|2
3,000|2
1,500|2
750|2
375|3
125|5
25|5
5|5
1

LCM(10000,24000)=2^6\cdot3\cdot5^4=120,000

|2x-3| < 9 solve for x

Answers

|2x-3| < 9 \n \n2x-3 < 9 \ \ and \ \ 2x-3 > -9 \n \n 2x < 9 +3 \ \ and \ \ 2x > -9 +3 \n \n 2x < 12\ \ and \ \ 2x > -6 \n \n x < 6\ \ and \ \ x > - 3 \n \n x \in (-3,6)
|2x-3| < 9\iff2x-3 < 9\ \wedge\ 2x-3 > -9\n\n2x < 9+3\ \wedge\ 2x > -9+3\n\n2x < 12\ \wedge\ 2x > -6\n\nx < 6\ \wedge\ x > -3\n\n\nx\in(-3;\ 6)

You have two biased coins. coin a comes up heads with probability 1 / 4. coin b comes up heads with probability 3 / 4. however, you are not sure which is which, so you choose a coin randomly and you flip it. if the flip is heads, you guess that the flipped coin is b; otherwise, you guess that the flipped coin is a. a) True b) False

Answers

False. To get an accurate answer, you should flip the coin at least 4 times.

The sycamore grove contains 30 sycamoretrees. That's 75 percent of all the sycamore
trees in the park. How many sycamore trees
are in the park?

Answers

Answer:

40 sycamore trees

Step-by-step explanation:

We can use the following equation to calculate the total number of sycamore trees in the park:

75% of Total sycamore tree = 30 sycamore tree

0.75 of Total sycamore tree = 30 sycamore tree

\textsf{ Total sycamore tree = $\sf (30)/(0.75) $ sycamore tree}

\textsf{ Total sycamore tree = $\sf 40 $ sycamore tree}

Therefore, there are 40 sycamore trees in the park.

Let’s assume that the number of sycamore trees in the park is x. According to the problem statement, 30 sycamore trees make up 75% of all sycamore trees in the park. This can be expressed as:

30 = 0.75 * x

Solving for x, we get:

x = 30 / 0.75

x = 40

Therefore, there are 40 sycamore trees in the park.

If (x, 1/100) lies on the graph of y = 10x, then x =

2
-1/2
-2

Answers

Answer:

Option 3rd is correct

value of x is, -2

Step-by-step explanation:

As per the statement:

If (x, 1/100) lies on the graph y = 10^x

Given the graph:

y = 10^x          ...[1]

Substitute the point  (x, 1/100) in [1] we have;

(1)/(100) = 10^x

We can write (1)/(100) as:

(1)/(100) = (1)/(10^2) = 10^(-2)

then;

10^(-2) = 10^x

On comparing both sides we have;

-2 = x

or

x = -2

Therefore, the value of x is, -2

y = 10^x

for y = 1/100

1/100 = 10^x

10^-2 = 10^x ⇒ x = -2